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Arithmetic Series Sum

Calculate series sum using the arithmetic series sum formula.

Series sum: -
Visual representation

Arithmetic Series Sum diagram

The diagram updates with your entries and is illustrative, not necessarily drawn to scale.

Calculation explained

How this result was calculated

The formula, your substituted values, and the evaluated result are shown below.

Reference: Formulae and Tables, State Examinations Commission (2014), page 23.
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How the Arithmetic Series Sum works

This calculator applies the formula given in Formulae and Tables, State Examinations Commission (2014), page 23. Enter values in consistent units.

Formula and inputs

n × (2 × first+(n-1) × difference) ÷ 2

Inputs: First term, Common difference, Number of terms.

Using the result

The result is rounded to 4 decimal places. Check units, assumptions and significant figures before using the answer.

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